1. 
[syn: annoyed, harassed, harried, pestered, vexed]
2.  causing difficulty in finding an answer or solution;  much disputed; 
- Example: "the vexed issue of priorities"
- Example: "we live in vexed and troubled times"
The Collaborative International Dictionary of English v.0.48:
Vexed \Vexed\, a.
   1. Annoyed; harassed; troubled.
      [1913 Webster]
   2. Much debated or contested; causing discussion; as, a vexed
      question.
      [1913 Webster]
The Collaborative International Dictionary of English v.0.48:
Vex \Vex\ (v[e^]ks), v. t. [imp. & p. p. Vexed (v[e^]kst); p.
   pr. & vb. n. Vexing.] [F. vexer, L. vexare, vexatum, to
   vex, originally, to shake, toss, in carrying, v. intens. fr.
   vehere, vectum, to carry. See Vehicle.]
   1. To toss back and forth; to agitate; to disquiet.
      [1913 Webster]
            White curl the waves, and the vexed ocean roars.
                                                  --Pope.
      [1913 Webster]
   2. To make angry or annoyed by little provocations; to
      irritate; to plague; to torment; to harass; to afflict; to
      trouble; to tease. "I will not vex your souls." --Shak.
      [1913 Webster]
            Ten thousand torments vex my heart.   --Prior.
      [1913 Webster]
   3. To twist; to weave. [R.]
      [1913 Webster]
            Some English wool, vexed in a Belgian loom.
                                                  --Dryden.
      [1913 Webster]
   Syn: See Tease.
        [1913 Webster]
WordNet (r) 3.0 (2006):
vexed
    adj 1: troubled persistently especially with petty annoyances;
           "harassed working mothers"; "a harried expression"; "her
           poor pestered father had to endure her constant
           interruptions"; "the vexed parents of an unruly teenager"
           [syn: annoyed, harassed, harried, pestered,
           vexed]
    2: causing difficulty in finding an answer or solution; much
       disputed; "the vexed issue of priorities"; "we live in vexed
       and troubled times"
Moby Thesaurus II by Grady Ward, 1.0:
47 Moby Thesaurus words for "vexed":
   aggravated, angry, annoyed, anxious, beset, bothered, browned-off,
   bugged, burnt-up, chafed, distressed, disturbed, dogged,
   embarrassed, exasperated, fretted, galled, griped, harassed,
   harried, haunted, hounded, huffy, inconvenienced, irked, irritated,
   miffed, nettled, peeved, persecuted, perturbed, piqued, plagued,
   provoked, put to it, put-out, puzzled, resentful, riled, roiled,
   ruffled, sore beset, tormented, troubled, worried, worried sick,
   worried stiff